Question

How many 5 letter words ( with or without meaning) can be formed using the letters of the word great? Such that all vowels are together

Answer 1

Answer: Dear student, The word 'EQUATION' has 8 letters. There are 5 vowels: a, e, i, o, u and 3 consonants : q, t, n.

Answer 2

Answer:

48

Step-by-step explanation:

we have to separate the consonants and vowels and consider each time the set of the consonants and vowels as a single letter.

no

Here, word is GREAT

The total number of words can be formed using all letters of the word GREAT is 5!=5*4*3*2*1=120

vowels---E ,A (there are 2 vowels in given word )

given, vowels are together

consonants---G,R,T(thre are 3 consonants in given word)

the vowels can be arranged in 2! ways

No. of vowels in word: 2

So, both vowels can be arranged in 2 ways together.

total number of words (vowel together):

2!×4!=2×24=48

when a vowel is together, there will be 4 places to be filled in word

total number of words (vowels together)=48

#SPJ2